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 Alef Corner: ICM2022
 The probabilistic proof that 2^400593 is a prime: a revolutionary new type of mathematical proof, or not a proof at all?
 With Avi at Suzanna
 Meeting Michael H. at Rio
 What is mathematics (or at least, how it feels)
 Alef’s Corner
 To cheer you up in difficult times 22: some mathematical news! (Part 1)
 Cheerful News in Difficult Times: The Abel Prize is Awarded to László Lovász and Avi Wigderson
 Amazing: Feng Pan and Pan Zhang Announced a Way to “Spoof” (Classically Simulate) the Google’s Quantum Supremacy Circuit!
Top Posts & Pages
 Alef Corner: ICM2022
 The probabilistic proof that 2^400593 is a prime: a revolutionary new type of mathematical proof, or not a proof at all?
 TYI 30: Expected number of Dice throws
 Cheerful News in Difficult Times: The Abel Prize is Awarded to László Lovász and Avi Wigderson
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 The Argument Against Quantum Computers  A Very Short Introduction
 To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer
 With Avi at Suzanna
 Konstantin Tikhomirov: The Probability that a Bernoulli Matrix is Singular
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Category Archives: Open discussion
Possible future Polymath projects (2009, 2021)
What will be our next polymath project? A polymath project (Wikipedia) is a collaboration among mathematicians to solve important and difficult mathematical problems by coordinating many mathematicians to communicate with each other on finding the best route to the solution. … Continue reading
Posted in Combinatorics, Mathematics over the Internet, Open discussion
Tagged polymath, Polymath proposals, Tim Gowers
23 Comments
Avi Wigderson’s: “Integrating computational modeling, algorithms, and complexity into theories of nature, marks a new scientific revolution!” (An invitation for a discussion.)
The cover of Avi Wigderson’s book “Mathematics and computation” as was first exposed to the public in Avi’s Knuth Prize videotaped lecture. (I had trouble with 3 of the words: What is EGDE L WONK 0? what is GCAAG?GTAACTC … Continue reading
Answer to TYI 37: Arithmetic Progressions in 3D Brownian Motion
Consider a Brownian motion in three dimensional space. We asked (TYI 37) What is the largest number of points on the path described by the motion which form an arithmetic progression? (Namely, , so that all are equal.) Here is … Continue reading
Posted in Combinatorics, Open discussion, Probability
Tagged Brownian motion, Gady Kozma, Itai Benjamini
1 Comment
Are Natural Mathematical Problems Bad Problems?
One unique aspect of the conference “Visions in Mathematics Towards 2000” (see the previous post) was that there were several discussion sessions where speakers and other participants presented some thoughts about mathematics (or some specific areas), discussed and argued. In … Continue reading
Posted in Combinatorics, Conferences, Open discussion, What is Mathematics
Tagged Misha Gromov
4 Comments
Is it Legitimate/Ethical for Google to close Google+?
Update April 2, 2019: the links below are not working anymore. Google Plus is a nice social platform with tens of millions participants. I found it especially nice for scientific posts, e.g. by John Baez, Moshe Vardi, or about symplectic … Continue reading
10 Milestones in the History of Mathematics according to Nati and Me
Breaking news: David Harvey and Joris Van Der Hoeven. Integer multiplication in time O(nlogn). 2019. (I heard about it from Yoni Rozenshein on FB (חפירות על מתמטיקה); update GLL post. ) _____ Update: There were many interesting comments here and … Continue reading
Why is Mathematics Possible: Tim Gowers’s Take on the Matter
In a previous post I mentioned the question of why is mathematics possible. Among the interesting comments to the post, here is a comment by Tim Gowers: “Maybe the following would be a way of rephrasing your question. We know … Continue reading
Posted in Open discussion, Philosophy, What is Mathematics
Tagged Foundations of Mathematics, Open discussion, Philosophy, Tim Gowers
22 Comments
Why is mathematics possible?
Spectacular advances in number theory Last weeks we heard about two spectacular results in number theory. As announced in Nature, Yitang Zhang proved that there are infinitely many pairs of consecutive primes which are at most 70 million apart! This is a sensational achievement. … Continue reading
Polymath Reflections
Polymath is a collective open way of doing mathematics. It started over Gowers’s blog with the polymath1 project that was devoted to the Density Hales Jewett problem. Since then we had Polymath2 related to Tsirelson spaces in Banach space theory , an intensive Polymath4 devoted … Continue reading
When It Rains It Pours
After our success in exploring the phrase “more or less” in many languages here is a task of a similar nature There is a saying in Hebrew: “Troubles come in packages” צרות באות בצרורות “Tzarot Baot bitzrorot”. I am curious about analogs in other … Continue reading